Jabari is power washing houses for a summer job. for every job, he charges an initial fee plus $30 for each hour of work. his total fee for a 4 -hour job, for instance, is $170 . jabari's total fee, f, for a single job is a function of the number, t, of hours it takes him to complete the job. write the function's formula.

f(t) = 50 + 30t

Step-by-step explanation:

Let, Jabari's total fee = f (in dollars) and the time taken per hour = t

Let, the initial fee charged = x dollars.

It is given that, $30 is charged per hour for his work.

As, the total fee charged for 4 hour job is 170.

We get the equation,

Initial fee + 30 × 4 = 170

i.e. x + 120 = 170

i.e. x= 170 - 120

i.e. x = 50

Thus, the initial fee is $50

So, Jabari's total fee is given by,

f(t) = Initial fee + 30 × Fee per hour

i.e. f(t) = 50 + 30t

Hence, the function formula for the given situation is f(t) = 50 + 30t.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: